Answer:
x = 23
Step-by-step explanation:
Given
[tex]\frac{x-11}{2}[/tex] - [tex]\frac{x-3}{5}[/tex] = 2
Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions
5(x - 11) - 2(x - 3) = 20 ← distribute and simplify left side )
5x - 55 - 2x + 6 = 20
3x + 49 = 20 ( add 49 to both sides )
3x = 69 ( divide both sides by 3 )
x = 23
